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Question

If loge(a+b2)=12(logea+logeb) then relation between a and b will be

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Solution

We have,
loge(a+b2)=12(logea+logeb)

loge(a+b2)=12(logeab) logm+logn=logmn

loge(a+b2)=(logeab) nlogm=logmn

a+b2=ab

a+b=2ab

a+b2ab=0

(ab)2=0

ab=0

a=b

Hence, this is the answer.

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